10013221312001 has 24 divisors (see below), whose sum is σ = 10885025205120. Its totient is φ = 9204386349312.

The previous prime is 10013221311991. The next prime is 10013221312013. The reversal of 10013221312001 is 10021312231001.

10013221312001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013221312001 - 2¹⁰ = 10013221310977 is a prime.

It is a super-2 number, since 2×10013221312001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10013221612001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308757455 + ... + 308789883.

It is an arithmetic number, because the mean of its divisors is an integer number (453542716880).

Almost surely, 2^{10013221312001} is an apocalyptic number.

It is an amenable number.

10013221312001 is a deficient number, since it is larger than the sum of its proper divisors (871803893119).

10013221312001 is a wasteful number, since it uses less digits than its factorization.

10013221312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57353 (or 57336 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10013221312001 its reverse (10021312231001), we get a palindrome (20034533543002).

The spelling of 10013221312001 in words is "ten trillion, thirteen billion, two hundred twenty-one million, three hundred twelve thousand, one".